Extensions 1→N→G→Q→1 with N=C₇ and Q=C₈.C₂²

Direct product G=N×Q with N=C₇ and Q=C₈.C₂²

		d	ρ	Label	ID
C₇×C₈.C₂²		112	4	C7xC8.C2^2	224,172

Semidirect products G=N:Q with N=C₇ and Q=C₈.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₈.C₂²) = C₈.D₁₄	φ: C₈.C₂²/M₄(2) → C₂ ⊆ Aut C₇	112	4-	C7:1(C8.C2^2)	224,104
C₇⋊₂(C₈.C₂²) = SD₁₆⋊D₇	φ: C₈.C₂²/SD₁₆ → C₂ ⊆ Aut C₇	112	4-	C7:2(C8.C2^2)	224,110
C₇⋊₃(C₈.C₂²) = Q₁₆⋊D₇	φ: C₈.C₂²/Q₁₆ → C₂ ⊆ Aut C₇	112	4	C7:3(C8.C2^2)	224,113
C₇⋊₄(C₈.C₂²) = C₂₈.C₂³	φ: C₈.C₂²/C₂×Q₈ → C₂ ⊆ Aut C₇	112	4	C7:4(C8.C2^2)	224,137
C₇⋊₅(C₈.C₂²) = D₄.₉D₁₄	φ: C₈.C₂²/C₄○D₄ → C₂ ⊆ Aut C₇	112	4-	C7:5(C8.C2^2)	224,146

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